Answer:
[tex]f^{-1}(x) = 6(4-x) = 24-6x[/tex]
Step-by-step explanation:
Let [tex]y=f(x)[/tex] and swap x and y:
[tex]x = 4 - \frac{y}{6}[/tex]
Then, rearranging for y:
[tex]x+\frac{y}{6} = 4[/tex]
[tex]\frac{y}{6}= 4-x[/tex]
[tex]y= 6(4-x) = 24-6x[/tex]
